Bayesian predictions for A =6 nuclei using eigenvector continuation emulators
Abstract
We make ab initio predictions for the A =6 nuclear level scheme based on two- and three-nucleon interactions up to next-to-next-to-leading order in chiral effective field theory (χ EFT ). We utilize eigenvector continuation and Bayesian methods to quantify uncertainties stemming from the many-body method, the χ EFT truncation, and the low-energy constants of the nuclear interaction. The construction and validation of emulators is made possible via the development of JUPITERNCSM—a new M -scheme no-core shell model code that uses on-the-fly Hamiltonian matrix construction for efficient, single-node computations up to Nmax=10 for 6Li. We find a slight underbinding of 6He and 6Li, although consistent with experimental data given our theoretical error bars. As a result of incorporating correlated χ EFT -truncation errors we find more precise predictions (smaller error bars) for separation energies: Sd(6Li) =0.89 ±0.44 MeV , S2 n(6He) =0.20 ±0.60 MeV , and for the beta decay Q value: Qβ−(6He) =3.71 ±0.65 MeV . We conclude that our error bars can potentially be reduced further by extending the model space used by JUPITERNCSM.
- Publication:
-
Physical Review C
- Pub Date:
- January 2022
- DOI:
- arXiv:
- arXiv:2108.13313
- Bibcode:
- 2022PhRvC.105a4005D
- Keywords:
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- Nuclear Theory;
- Nuclear Experiment;
- Physics - Data Analysis;
- Statistics and Probability
- E-Print:
- 13 pages, 9 figures